{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/a406127/anaconda3/envs/ctr_prediction/lib/python3.7/site-packages/sklearn/externals/joblib/__init__.py:15: DeprecationWarning: sklearn.externals.joblib is deprecated in 0.21 and will be removed in 0.23. Please import this functionality directly from joblib, which can be installed with: pip install joblib. If this warning is raised when loading pickled models, you may need to re-serialize those models with scikit-learn 0.21+.\n",
      "  warnings.warn(msg, category=DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "import multiprocessing\n",
    "import os\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import skopt\n",
    "import xlearn as xl\n",
    "from sklearn.metrics import (accuracy_score, f1_score, precision_score, recall_score)\n",
    "from skopt.plots import (plot_convergence, plot_evaluations, plot_objective)\n",
    "from utils.measuring_performance import *\n",
    "from utils.misc import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "DATA_DIR = os.path.abspath('../../Data/display_advertising_challenge/processed')\n",
    "MODEL_DIR = os.path.abspath('models')\n",
    "USE_FIELD = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "if not os.path.exists(MODEL_DIR):\n",
    "    os.makedirs(MODEL_DIR)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_type = 'ffm' if USE_FIELD else 'fm'\n",
    "train_dataset_type = 'train'\n",
    "test_dataset_type = 'valid'\n",
    "\n",
    "train_dataset_path = os.path.join(DATA_DIR, '_'.join([model_type, 'dataset', train_dataset_type]) + '.libsvm')\n",
    "test_dataset_path = os.path.join(DATA_DIR, '_'.join([model_type, 'dataset', test_dataset_type]) + '.libsvm')\n",
    "model_path = os.path.join(MODEL_DIR, '_'.join([model_type, 'model', train_dataset_type]) + '.out')\n",
    "score_path = os.path.join(MODEL_DIR, '_'.join([model_type, 'score', test_dataset_type]) + '.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = xl.create_ffm() if USE_FIELD else xl.create_fm()\n",
    "model.setOnDisk()\n",
    "model.setSigmoid()\n",
    "model.setTrain(train_dataset_path)\n",
    "model.setValidate(test_dataset_path)\n",
    "model.setTest(test_dataset_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def update_params(params):\n",
    "    default_params = {\n",
    "        'task': 'binary'\n",
    "        , 'nthread': int(0.5 * multiprocessing.cpu_count())\n",
    "        , 'opt': 'adagrad'\n",
    "        , 'epoch': 300\n",
    "        , 'stop_window': 3\n",
    "        , 'metric': 'auc'\n",
    "    }\n",
    "    default_params.update(params)\n",
    "    return default_params\n",
    "\n",
    "\n",
    "def set_args(model, space, model_path, score_path, y_true):\n",
    "    @skopt.utils.use_named_args(space)\n",
    "    def _objective(**params):\n",
    "        params = update_params(params)\n",
    "        model.fit(params, model_path)\n",
    "        model.predict(model_path, score_path)\n",
    "        with open(score_path, 'r') as file:\n",
    "            y_score = np.array([float(line) for line in file])\n",
    "        return -1.0 * roc_auc_score(y_true, y_score)\n",
    "    return _objective"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(test_dataset_path, 'r') as file:\n",
    "    y_true = np.array([int(line[0]) for line in file])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "space = [skopt.space.Real(0.05, 0.4, name='lr', prior='log-uniform'), \n",
    "         skopt.space.Real(0.0005, 0.016, name='lambda', prior='log-uniform'), \n",
    "         skopt.space.Integer(2, 32, name='k')]\n",
    "\n",
    "objective = set_args(model, space, model_path, score_path, y_true)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time: 38800 sec\n"
     ]
    }
   ],
   "source": [
    "with get_elapsed_time():\n",
    "    results = skopt.forest_minimize(objective, space, base_estimator='ET', acq_func='EI', n_calls=30, \n",
    "                                    random_state=42, verbose=False, xi=0.01, n_jobs=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "skopt.dump(results, os.path.join(MODEL_DIR, '_'.join([model_type, 'param', train_dataset_type]) + '.pkl'), \n",
    "           store_objective=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 576x396 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = skopt.plots.plot_convergence(results)\n",
    "_ = skopt.plots.plot_evaluations(results)\n",
    "_ = skopt.plots.plot_objective(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "results = skopt.load(os.path.join(MODEL_DIR, '_'.join([model_type, 'param', train_dataset_type]) + '.pkl'))\n",
    "\n",
    "train_dataset_type = 'train+valid'\n",
    "test_dataset_type = 'test'\n",
    "\n",
    "train_dataset_path = os.path.join(DATA_DIR, '_'.join([model_type, 'dataset', train_dataset_type]) + '.libsvm')\n",
    "test_dataset_path = os.path.join(DATA_DIR, '_'.join([model_type, 'dataset', test_dataset_type]) + '.libsvm')\n",
    "model_path = os.path.join(MODEL_DIR, '_'.join([model_type, 'model', train_dataset_type]) + '.out')\n",
    "score_path = os.path.join(MODEL_DIR, '_'.join([model_type, 'score', test_dataset_type]) + '.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.setTrain(train_dataset_path)\n",
    "model.setValidate(test_dataset_path)\n",
    "model.setTest(test_dataset_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(test_dataset_path, 'r') as file:\n",
    "    y_true = np.array([int(line[0]) for line in file])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time: 22888 sec\n"
     ]
    }
   ],
   "source": [
    "with get_elapsed_time():\n",
    "    model.fit(update_params({k: v for k, v in zip(['lr', 'lambda', 'k'], results.x)}), model_path)\n",
    "    model.predict(model_path, score_path)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(score_path, 'r') as file:\n",
    "    y_score = np.array([float(line) for line in file])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sTXFepyBEj5hL5E6vC73Cm4Eupji5O1+cCN2o/IEH7g1ZW4IgBFfMJXKbx4YhxCcDtUZ+Qi57aw7Q6HOHpL05c2aHpB1BEIIvBhO5I2xWrJxLJakotObzVekmpUMRBCHCxFwit3vsYTm1AtAzqen0oHCbwxcEIbzFXCK3ue3EKVxn5VKMWgPxOguH6o4Gva3t2/cFvQ1BEEIj5hJ5g9tGXBjOkX+jd0oPlp34MujtbNu2NehtCIIQGjGXyOvdtrDZnn8xGcZ0KhyV1DUGt7ZxScnUoN5fEITQiblEbvOER8GsS5EkiR7J3fjy1BqlQxEEIULEYCIPnzorl9ItsYBN5dtCXn9FEITIFHOJ3B6myw/PpVVpyTZnsa1iZ9DaeP75S9eYFwQhssRcIvf4PWhUrT6qVDG9U3rwRRDrr9x++w+Ddm9BEEIr5hJ5pLDqE5BlOWiHTqSlxQflvoIghF7MJfJI2mxTnNKDZSdWKR2GIAhhrtk5Bo/Hw6OPPsqpU6dwu9389Kc/5aqrrjp7ffbs2Xz44YckJSUB8MQTT9ClS5fgRtwBXr8XlRQ5P7vy4jvzVekmXF5XWC+ZFARBWc0m8gULFmC1Wnnuueeora3lxhtvPC+R79y5k1mzZtGrV6+gBxoITq8LfZju6ryYpvorXVh3ZhOjOg8L6L2vvvragN5PEATlNDs8vfbaa/nlL38JNE1JqNXq867v2rWL1157jVtvvZVXX301eFEGSFMiD4+TgVqrZ3I31pz+KuBTQu+8My+g9xMEQTnNjshNJhMANpuNe++9l/vuu++86+PHj2f69OmYzWbuueceli9fzujRo5ttMDHRiEajbvY5HZWaarno4w3V1ZgNBqxWY1DbDyQrRtIrk6mklJ6p3x6YfKk+ttbEiRNZuHBhR8MLuo72MxKIPkYHJfvY4jq8M2fO8POf/5zp06czceLEs4/Lsswdd9yBxdIU/MiRI9m9e3eLibymxtHBkJuXmmqhouLi29tPV1eDT0VtbXBjCLRCSyH/3LGI1D6dgOb72Fqffvpph+8RbIHoZ7gTfYwOoehjcz8omp1aqays5M477+Shhx7illtuOe+azWZjwoQJ2O12ZFlm/fr1YT9X7vS50EXY1ApAhimNalcttY11SociCEIYanZE/re//Y36+npeeeUVXnnlFQAmT56M0+lk6tSp3H///dx+++3odDqGDh3KyJEjQxJ0ezm9LrSSVukw2qVnUhFfnlzLxALxIaUgCOeT5BAvrA7F249LtbHs+Erq3TZ6JncLagzB4PV7+ejAAv530K/ISLdG/VtVEG/Jo4XoY+DauJTIWVQdAA6vM+JWrXxDo9LQ2ZLFtopdAbnf22+/FZD7CIKgvJhK5E5vZM6Rf6M4uTsrA1Te9sEHfxmQ+wiCoLyYSuSRPCKHpvorPtnH6Ybg1F8RBCEyxVQid0X4iBygZ1I3PjvwhdJhCIIQRmIqkUfizs4L5Sfksr10Dy6vq0P3mTNnboAiEgRBaTGXyCN9RK6SVPRO787q01916D59+/YLUESCICgtphK5T/ahloJbHiAU+ncqZs3przp0FFyfPpG3BFMQhIuLqUQeLfQaPZ0tWWyt2KF0KIIghIGYSuSRdKhES3qn9GTp8ZVR1SdBENonZhK51++NimmVb1h0Zsw6EwdqD7Xr9SUlPwhsQIIgKCZmEnk0rFi5UP/UvvznyJJ2vfaFF14KcDSCICglphJ5pK9YuVCyIRGVpOJw3dE2v3bs2BGBD0gQBEXETCKPhs1AFzMwrR//Pry4za/bvn1rEKIRBEEJMZPIm0bkkVnCtjmpxmT8sp9j9SeUDkUQBIXETiKP0EMlWqN/Wh/+faRto/L09IwgRSMIQqjFTiKP4EMlWpJhSsPpdXHKdqbVr9mxY38QIxIEIZRiJ5F7HFE5tfKNgWl92zQqf/bZp4MYjSAIoRQziTzSS9i2JNOcQV1jPaX21pW4ff75mUGOSBCEUImZRB6Nyw8vNCCtT7vXlQuCELmaTeQej4eHHnqI6dOnc8stt7B06dLzri9btoxJkyYxdepU5s2bF9RAOyraR+QA2eZMKp1VrR6VC4IQHZpN5AsWLMBqtfLee+/xxhtv8Pvf//7sNY/HwzPPPMObb77JnDlzmDt3LpWVlUEPuL2idR35uSRJ4vKM/iw49FmLz128eEUIIhIEIRSaTeTXXnstv/xl09mOsiyjVn9bq+TQoUPk5OSQkJCATqdj4MCBbNiwIbjRdkA0btG/mCxzJg0eGycaTisdiiAIIaJp7qLJZALAZrNx7733ct999529ZrPZsFgs5z3XZrO12GBiohGNJrjFq1JTLd95zCt5SEuyolZFR+Esq9V4yWtjul7BZycW8+jIey75nHHjRkZE5cSLfS+jjehjdFCyj80mcoAzZ87w85//nOnTpzNx4sSzj5vNZux2+9mv7Xb7eYn9UmpqHO0MtXVSUy1UVDR85/FGt4eG+sagth0qVquR2tpL/z6aiMfucvLVwZ3kJ+Re8nkX+30KJ5f6XkYT0cfoEIo+NveDotmplcrKSu68804eeughbrnllvOuFRQUcOzYMWpra3G73WzcuJH+/fsHJmKhwy7PGMC/WjFXLghC5Gt2RP63v/2N+vp6XnnlFV555RUAJk+ejNPpZOrUqcyYMYO77roLWZaZNGkS6enpIQm6PWTCfxohkFINyWhUavbXHKQoset3rj/44AwFohIEIRgkOcQTpaF4+3FhG16/l2c3vMwtRdcHte1QaWlq5Rs1rlpWnV7Hrwb8DEmSQhBZYIm35NFB9DFwbVxKTGwIipUVKxdKjLNi1prYVbX3O9d69y5SICJBEIIhJhK5y9sY9WvIL2VgWj/+fWTxd1aolJWVKhSRIAiBFhuJ3BedtchbI15vIdmQyNaKnUqHIghCkMRGIvc2olXFZiIHGJDWl/8eXYJf9p99rE+ffgpGJAhCIMVGIve50MboiBzArDXRyZTOhtItZx9bsmSlghEJghBIMZHIG2N8RA5NlRE/P7acRp8bgAceuFfhiARBCJSYSOROXyNaVYubWKOaQWOgZ3J3Fn69SWjOnNlter0sy/j9Ml6fH7fHh8vtxeHy4vfH1vp8QQhHMZHdXF4XOlVsrlo5V6/k7vzr0H/PHtS8dlcph0/XcaLchsPlRZYBCc7dOyV/81+5qbqiJDX9XyVJqFTg9jTNu1uMWrpmJdA120pBVjymuNh+ByQIoRQTiTwWDpVoiSzLlFd5MNUW88fV7wCw/0Qt6YkGeuQmYdCp271pSJZl7C4vZ6rsrN9dxr9WHcbj9ZObYaFrVgIFmQlkpphQqSJvU5IgRIKYSeQWnUnpMELO65M5fsrFvqMOTp5xkWBR0yndRNfEXP733RcZXBSYkgqSJGE2aCnMtlKYbQXA55cpr3FSWuVgy4FKKmqdxBt1FGQl0DUrgS5Z8cQbY/uHqyAESkwkcpfPhTZGplbcHj/7DjvYd8ROTb2XtGQNmelaehRazo6IZbk77659lX45g0iPywxKHGqVRKdkI52SjfT9+jGb08OZKgcb95WzYPURJAn6dU1hQFEqmSmmiCwjIAjhIDYSuTe6NwTJsszpMjcbd9VTXukmq5OWbgV64i2GiyZHSVLxn2feJ+fyQiZn3R6yFT1No/YECrMTAHA0ejl8uo73lxyg1tZIt5xE+hWm0K2zFZ02OurGC0IoxEYi97mj8sNOn09m72E7G3fUExcnUZCnp1+xpdUj286GPNZWr2BEytggR3pxRr2GXvnJ9MpPxuvzc7LcxpodpcxbdpAEs45hfbPITzeTnnjxH0iCIDSJiUTe6G2MqhG50+Vj1aZadh+00ylNy+ABJoyGtq8kzTMWsLpqGdXuSpJ0KUGItPU0ahV5neLJ6xQPQJ2tkdIaB19uOUmd3U3XrASGFmdQlGNFJZK6IJwnJhK5x+9BLUX+W3W3x89X2+vZd8RBfraOsVda0Gjal9TuevBBJEmiOL4fX1Qs4qbM6WE16k0w68nNTqRbVgJ+v8zJChuLN57g7UX7KM5PYljvDHLTW//uQxCiWUwkciCi/8LLssyuA3bWbqkjP0fHxKtTcDk7dmzdVdc31WZP1CWjU+k5YNtDkaVnIMINOJVKIifdQk66BZ/Pz5HSBuavOExtQyODeqZxZe9MEi16pcMUBMXERCKP5NOBKmvc/HdFFRazitFXmNHpVGjUHf+hNH3ECN5b2VRvpYelN2urV5BnKkCnCu+EqFarmjYeZSXQ6Pax70QNL8/fTpxOzYi+mQwoShUflAoxJyYSeSTy+WTWbqll/1EnA3obSLIG71ulV8fRxVTE6spljE67LmjtBJpep6ZPQQp9ClKobnCx80g1C1YfpSArnjEDssn/er5dEKJd1Cdyj98bcfPjdQ1eFiytICVZzZhh5pDsiPxmBcsZ10k6xWUHvb1AS7LEcWXvTgzrlcHxMhsffXEIv19m4rA8euQmRvTUmiC0JOqLZkXaGvIDRx3M+08ZPYv0FBcZgpbE+19xxXlfS5JEn4SBfFGxCJ/sC0qboSBJErkZFiZekceVvTvx+YYTPPX2Rrbsr8Af2uNpBSFkWpXIt23bRklJyXcenz17NuPHj6ekpISSkhIOHz4c8AA7qtHXGDFryDfvrGfNllpGXWEmNTm4P3wemjnzO4+ZNRYy9FlsrFkT1LZDJTkhjmsH5XD1ZZ1ZvbOUJ97awNqdpfj8/pZfLAgRpMWplddff50FCxZgMBi+c23nzp3MmjWLXr16BSW4QHB6G8P+UAlZllm5oZbTFS5GDDajDsCHmS15bsaMiybzAnM3VlUtpcjck0RdctDjCIUEs56xA7OxOT1s2l/Ov9cdY+zALIb1zkSrifo3pUIMkOQLT+W9wKJFi+jWrRsPP/ww8+bNO+/addddR2FhIRUVFYwaNYq77767xQa9Xh8aTejmrPdUHGDRgRWM6zoiZG221WcryimvdjLs8oSQzeVeP2AQCzZ/ddFrlc4KdtVs5/aiu6Jybtnh8rBuVyl7j1Yz4couXDskF7VaJHQhcrU4Ir/mmms4efLkRa+NHz+e6dOnYzabueeee1i+fDmjR49u9n41NY72RdpKqakWKioazn5dWlmD3yNRWxvcdttrzeZaTpa5GNzfiN3eurXhZnMcNpurw21f6h5xWNDLRlYdX03vhAEdbqe9rFZj0L5vAwqSKc6xsnFfBZ9+eYgbh+fTvzA15D+4LvzzGo1EHwPXxqW0exgiyzJ33HEHSUlJ6HQ6Ro4cye7du9t7u6Bx+RrRqsNzcc6W3Q0cO+1kUD9j2I18u1t6sb1uE/WeWqVDCRq9Vs2wXhlMvCKfL7efYea7mzl8ul7psAShzdqdyG02GxMmTMButyPLMuvXrw/LufJwPa/zyAkn2/Y2MGSAMgcufLMZ6FI0Ki3F8f1YUv5vWph9i3gWo5ZrLs/hyt6dmLvsAH/+53bKa51KhyUIrdbmRL5w4ULmzp2LxWLh/vvv5/bbb2f69Ol07dqVkSNHBiPGDnF4nWGXyKtqPCxZW80Vl5lC8sHmxSxdsKDF56To0zBpzGyr2xiCiJSXajVw0/AuFGZZ+fP87bzz+T5sTo/SYQlCi1r8sDPQQjGPdG4bCw99hlatpUtCXlDbba1Gt593/lXK5f0MWOPbN+UTiDnyc7foN8cn+1hdtYxxaRNJ1QfmRKHWCuYceUtkWWbPsRo27qtgWO8MrhmUgyYIH4iK+ePoELFz5JHCFUbryGVZ5j9fVFLURdfuJB5qaklN/4RBLC5fiNvfsUJdkUSSJHrmJTF9bCGVdS6enL2BHYerlA5LEC4q6hO5M4x2dm7Z1YCMTG52eBemupBFm0C+sZCl5f+N+vnyC2nUKgb3SGfC0Dw+W3+cFz/aTlVdx1cMCUIgRX0id3kbw+K8zvIqN1v22ujX67sbq5TwwDPPtOn5nY15+GQvu+q3BSmi8BZv0jHxijy6dU7gTx9uY+HqI2KHqBA2oj+R+5Qfkft8Mv/+opLL+xoCUoI2ELp069bm1/SK78/2+o1UNpYHIaLIkJcRz61julJZ5+IPb2/iZIVN6ZAEIfoTeaNP+WPevtxYS1aGNqzmxX9+881tfseErTkAACAASURBVI1GpaF/wiA+j7H58gup1SqGFmcwql8Wry3YxQIxOhcUFvWJ3O3zoJGUS6Cnyxs5espJUUFkzYtfStN8eVcWl38ac/PlF0pLNDB1TCFVdS6enrOJU2J0Ligk6hM5KHfMm88n89nKKi7ra4yqA4M7G/NQoWJz7TqlQ1GcWiUxtDiDkX0zeXXBLjF3Ligi6hO5kse8rdtaR2a6lnhz+B1sMXrixA69vji+H4fs+zjuOBKgiCJbWqKRqWOaliqK0bkQalGfyJVSU+dhzyE73bqG55TKjx96qEOvV0kqBliHsLJycVTXY2kLMToXlBLVidzr96KSQt9FWZb5z4oq+vcyoFagjkprPPqjH3X4HnFqA30TLuO/ZR/j9Yut7N84d3T+h7c3cbwsunc1CsqL6kSu1K7OXfvtGOKkoJ/y0xFH9+8PyH0Sdclkx+WytOI/Mf/h57m+GZ2P7p/Fm//Zw/wVh/B4xehcCI7oTuTe0C89dLp8rN1aR58ecSFtV0m5pgL8so911SuUDiXspFoNTBnVFZfby+/f3sjBU3VKhyREoahO5I2+0B/ztmRNDT0K49Dpwvu31poc2GPcesUPoLyxjE01YiXLhVQqiYFFaVw3KIcPlh7gnc/34XJ7lQ5LiCLhnW06yOl1oQthCdvjp13U2zx0zgzfKZVvvPLxxwG9nyRJ9LcO4pjjEDvrtgb03tEi0aJn0ogu6LVqnnp7kyjCJQRMVCfyRl/oDpXw+2WWrq2mXy9D2J32czEfvflmwO+pklQMTBzK7oZt7G8Iv9OiwoEkSfTukswNw/L5bP1xZr29gTq7W+mwhAgX1YncFcLTgXbut5GcqMFiCr814xfzz9mzg3JftaTm8sRhbK5dx1H7waC0EQ0sRi0Tr8ijS1YCz763mXW7SpUOSYhg0Z3IfS60quBvz3d7/KzfVk/PwvBcMx5qWpWWy5OuZE31Fxy3iw1Dzemem8SUUV1Zt7uMP/9zhziRSGiXqE7koapFvm5rHV1ydGH/AWco6VV6BicOZ1X1Uk44jiodTljT69RcOyiHnHQzM9/dzKHTYmWL0DZRnXmcHic6dXDXkTucPvYddlCQF1mj8adefz3obejVcQxKvJKVlYs5Zj8c9PYiXVG2lQlDc5mzaB+Lvjom1uULrdaqRL5t2zZKSkq+8/iyZcuYNGkSU6dOZd68eQEPrqMcXid6dXAT7OrNtXQr0KMK0x2cSotTGxiSNII11cs50LBH6XDCntWsZ/LIAg6faeCl+dtxuMRUi9CyFhP566+/zm9+8xsaG8+vP+3xeHjmmWd48803mTNnDnPnzqWysjJogbZHUyIP3oi8we7l2GkXOdnKn0DUVr/58Y9D1pZeHceQpJFsrlvPnvrtIWs3UqnVKkb3yyK/UzxPv7OZfcdrlA5JCHMtfhKYk5PDyy+/zMMPP3ze44cOHSInJ4eEhAQABg4cyIYNG7juuuuavV9iohGNJrgrO745bdoreUhNtJIQZwxKO8vWnaZ/LwvxltAf32Y2d3znaCDu0XpxXGUexxenl5BgNtEzqXerXmW1Bud7F04u1cdBViNFucksWHWY/KM1/HBCMXH68DmcpC2aOwE+WijZxxb/VFxzzTWcPHnyO4/bbDYslm8DN5lM2Gwtl+6sqXG0McS2SU21UFHRVKSozmGj0e6j1hX4NusavBw96eCqPDM2W2gP4zWb4wLSZqjjBhgYP4wVp1bQ6PSTbyps9rlWq5Ha2uD+eVFaa/o4YUgOO49Uc98fv2D6uEJ65CaFKLrAOPfvZLQKRR+b+0HR7h/vZrMZu91+9mu73X5eYg8HwdwQtGZLHT266iNi88/F3PyDHyjSrlalZXDSlaytXoFG0tDZmK9IHJHkm01EuekWPl55hPUp5Uy7qitxusgcnQuB1+5VKwUFBRw7doza2lrcbjcbN26kf//+gYytw2SCczqQze7ldJmLzIzw34p/KbfceadibetU+q9XsyzhjOu77/aEi4s36bhpeD6mOA1Pvb2J3UerlQ5JCBNtTuQLFy5k7ty5aLVaZsyYwV133cW0adOYNGkS6enpwYixA4KzfGvdtnqKukTuaBzgZzfdpGj7cWoDg5KuZGn5f0Qyb4Nvt/jn8a9VR3h38T5RHldo3dRKdnb22eWFE885ImzMmDGMGTMmOJF1kF/2IxH4ROtw+jhy0sm4EeE1jdRWtVXKF2wyqI0MSrqSZeX/ZXjKWHLENEurWYw6brwyn80HKnnm3U3cfX0x6YnR/8GwcHFRuyHI6XUFZenhhh31FObpo+owZSUZ1SaGJI1gVdVSDtr2Kh1ORJEkiYFFqQzvncnL87ezVtRriVlRnMgDvxnI7fGz/4iD3M6Rt278QnlFRUqHcJZeHcfQpJFsrf2Kr6pXiR2NbdQp2cjkUV1Zu7OUv3+6m0a3T+mQhBCL2kTu8AZ+e/6OfTZysnRhew5nWzz9xhtKh3AerUrHoKThVLkrWFT2L7x+cfBCW+i1aq4bnEO8WcfT72ziRHnLS4GF6BG1idzpcQU0kfv9Mlt2N1CQG/mjcYDXn3tO6RC+QyWp6J0wALPGwsen38Xmie61x4EmSRK985O5+rLOvLZwF4s3Hscv3t3EhKhN5A6vE30A15DvP+ogJVkTNRUOly9cqHQIl5Rn6kpXcw/m7H+LisYypcOJOMkJcUwZ1ZVDp+p54YOtVNeHfuOXEFrRkZUuwhngqZWvttdTlB9ZFQ4jWao+nWEZI/i8bAGHbPuUDifiaDUqRvXLok9BMi/M3cqaHWfEZw9RLGoTud3jCFgiP1nqQqcFc4Sc/hMt4nUJDE0exeba9ayrXikSUTvkpluYMqorX+0tFwdXRLGoTeSBLGG7bmsd3QpCWWAq+P7yz38qHUKr6FQ6BicNp95Tx4Izc3H5nEqHFHG+ObgiL8PC03M2sfVAhdIhCQEWtYnc7nEEZB15TZ0Hu9NHcmJ01bU4vC9ypitUkoqe8X3INOQw/9Q7lLnOKB1SRCrMtjJpZBc+W3+cv3+6G5dbrAyKFlGbyJ1eJ3Gajo/I12+rpzAK58ZfeOQRpUNos05xWQxMHMrSin+zo26zmGppB1OclhuuzCfepOP3/9goap1HiahN5IE4VMLp8nGy1EVWBBfHijZmjYVhyaM56jjE5+UL8PjFnG9bfVOv5for8pi77CDvLzkg6rVEuKhN5E6Pq8Nz5Jt3N9AlRxfRxbGikVrS0N86CLPawken5lDrFlUA2yPBrGfyqAK8Pj9Pvb1RbCKKYFGbyN1+N2qp/atM/H6Z3Qfs5HWOvmkVgLsefFDpEDos11RA7/j+fFr6kVii2E6SJHF59zTGXZbN6wt38emao/j9Ysoq0kRtIoeO1SI/cNRBWooGjSY6R+NXXX+90iEEhFWXxBXJo9lat4EVFZ+LqZZ2SkkwMHV0V8qqHcx8dzPltWJ1UCSJ6kTeERt31tM1LzpH4wDTR4xQOoSA0al0DEq8EpWkYt7J2Rx3HFE6pIikVqsY1rsTQ3qm89KH21ix9ZT4QDlCRGUi9/q9qDrQtYpqN7IMFrPYABQpJEki31TIoKQr2Vizhs/LFuD0Rfd5n8GSmWJiyuiu7DhczYsfbafe7lY6JKEFUZnInV4Xek37V6xs2FFP1/zoKI4VawxqI5cnDsOqTWL+qXfY27BTjCrbQadVM3ZgNkXZCcx6bzOb95crHZLQjOja5fK1juzqdDX6OVXaSHG3yD4BqCX9r7hC6RCCRpIkMg2dSdGns6d+O/sadjI69TritQlKhxZxumQmkJFsYvmWU6zbVcb3r+lGvFEMcsJNlI7I27+GfPu+BvKyo3/J4UMzZyodQtDpVDr6Wi8j11jAwjPz2FL7FX5ZrJduK6New/ghuXROMzPr3c2s310q3uWEmRYTud/v57HHHmPq1KmUlJRw7Nix864/9dRT3HzzzZSUlFBSUkJDg/I1pNtbi1yWZbbvtZGfE/0jjudmzFA6hJBJ0adxZcpVVLrL+OjU2+Kw53YqzLYyeVQB63eX89L87dTaGpUOSfhai1MrS5Yswe12M3fuXLZu3crMmTP561//evb6rl27eOONN0hKSgpqoG3h8DrQqdqejA+fcJJojZ6a483ZsmaN0iGElFpS08PSh3pPHWurvkCviuPKlLEkaK1KhxZR4nQarr68M0dLG3j+/a1cOziHYb0zov4dbLhrMWNt2rSJ4cOHA9CvXz927tx59prf7+fYsWM89thjTJs2jY8++ih4kbaBw+NEp277tvqmg5WjfzQey+K1CQxKGk6mIYdPz3zEhprV+GRxxmVb5WVYmDy6gB2Hq/jj3G1U1ol150pqcURus9kwm81nv1ar1Xi9XjQaDQ6Hg+9///v88Ic/xOfzcfvtt9OrVy+6d+9+yfslJhrRaIK7rE/S+0nSWrBaja1+TVWtG68PsrPMLT85DJjNHS+rG4h7BFuwYjSbc8lJymZvzS7mn3mba3MmkGPODUpbLWnLn9Nwc9NoC0fP1PPnj3fyvSvyuG5oPqqLnGmbmhrdiwdA2T62mMjNZjN2u/3s136/H42m6WUGg4Hbb78dg8EAwJAhQ9i7d2+zibymJrhre1NTLZTX1mDRmamtbX1by9dUk5etxWYL/2OxzOa4Dsf53sqVYd/XQPSzJbm6IpJVnfj82GckaKwMSRqBJYSrW6xWY5v+nIYjq0HDpOFdWLu7lGUbTvDD73UnPfHbH06pqRYqKpT/7CyYQtHH5n5QtDi1MmDAAFauXAnA1q1bKSoqOnvt6NGj3Hrrrfh8PjweD5s3b6a4uDgAIXdMW5cfejx+Dp9wkt0pdqocLl2wQOkQwoZZY2Fw4nCs2iQ+Lf2Iz8sWikJcbaTVqBjRJ5NBPdL48/wdfLb+mKjZEkItjsjHjRvH6tWrmTZtGrIs8/TTT/PWW2+Rk5PDVVddxQ033MCUKVPQarXccMMNFBYWhiLuZjk8bVt+uOuAnc6Z2ou+JYxWf3/++aiptxIIkiTRyZBNRlwW5Y1nWFT+LyyaBAYnDidZn6p0eBEjM9nE1DFdWberjGfe3cSPJvSMiWkVpUlyiBeEhuLtx28WPc/I7GEYtYYWny/LMm/NP8OVg0zE6SNjtUogphymjxjBe1+/0wpXoZhaaU5lYzkHbHvQq/QMThpOelxmwNuIhqmVSzlTZWfp5pNcd0U+Q3ukoYrilS1KT61E5c5Op9fV6hH5ydJGzCZVxCRxIXRS9Gmk6NOocVexumo5aknN0ORRpOkzlA4tInRKNjFtTCGbD1bx5eaT3DWhJ6nWlgdXQttFZfbyyl7UqtatjGmqqxK9VQ4v5YFnnlE6hIiRqEtmUNKVdDEV8WXlEhaemUdFY5nSYUUEjVrF1YNzubxHOi9+uI21u0qVDikqRV0ib/S2/kCJBruX2gYvKVF2sHJrdOnWTekQIk6iLpnBScPJNRawouJzFpyex3HHEbFdvRWyUkxMHt00d/7qgl04G8XBz4EUdYm8zFZBgq51H65s3t1AQQxsx7+Yn998s9IhRKwkXQpDkkfQxVzE9rpNvHfy76yrXkmNu0rp0MKaXqvmusE5pFkNPP3OJg6drlM6pKgRdUPRMnslFn3Lidznk9l32MG44eITdaF9rNpE+lkvx+P3UOY6xbKK/+KTffRJGEihuUeHjhqMZj1yE+mUbOSdz/fTvzCFCUPzYmrFWDBE3Yi8tKGceG3LyXnvYTuZ6VrUavEHSOgYrUpLtjGPwUnD6ZdwOccdR3jvxBusqVpOg7de6fDCktWsZ/LIAirrXDz7/haq68N7c1q4i7pEfrqhnAR9fIvP27SzgYLc2JxWARg9caLSIUQlo8ZEz/g+jEgZh4SK/5TOZ8HpuRy1HxQldC+gUklcUZzBZd1SeWHuVjbsFR8gt1fUTa2U2srJT8tv9jmnShvR6SRMxth96/vjhx5SOoSoppbUdDbm0dmYR52nlj0NO1hVtZSMuGyKzD3JNuSikqJuHNUu2almJo8qYMmmk+w4VM1t44rQ62L372Z7RN2fpDpXA0ZN82tV12yppVtB7C05PNejP/qR0iHEjAStld4JAxiZcjUpulR21W/hvROvs7jsUw7VHRDVF2kqjzt+SC7xJh1/eGcTx0qjuzZLoEXViNzn9yEhNVsbuarGg7PRR3IMLjk819H9+5UOIeZIkooUfTop+nRkWabKXcHWqs2ctp0mVZdOgakbuaYu6FSxOciQJIle+UlkJht56z97GNAtle8NyUWjjrrxZsBFVTaraawjPq75MrTrttZR1CU2/6II4UOSJFL0aeSZcyiKc1Lrqeao4yAbaldjUBvpaupOgakbRo1J6VBDLik+jsmju7Jhbxl/eHsTd1zXjbyMlj/3imVRlcgrnVUkxl26BKnN7qW0qpFePcSSQ2tystIhCF+TJIlEXTKJumR6AHavjVLXKXbVb0Wr0tHFVEiOsQtJ2pSYOYlHrZIY0jODwmwXcxbtJyvVxC2jCsTBz5cQVUWzvjy5lgbq6Gq6eAXG/66oxGKBnKzIHpErXUwqVGKhny310eG1U95YSqW7DJu3nniNlU6GzmTGdSZdn4FGFf6llztaGEyWZfafrOWrPeUM6ZnOuMs7E6cLrzGoKJoVQOWOSjKTL15ytKLaTWmVm57dIuMEoGD76M03ueXOO5UOQ2iBUWMiT1NAnqkAWZax+2xUuyvZVreBWk81WklLZ2M+OYYupMd1ispNSJIk0a1zIgWZCWw7VMWTszdyRe8MRvXLwmwI/x9koRBdidxZSbGhK1zkcO+la6rp28MQM29NW/LP2bNFIo8wkiRh1lgwayzk0LTEttHnotJdzpba9dR4qjBrLGTEZZGuzyRd3ymq5tg1ahUDi1Lp0yWZXUermfnOJgqyEhjRL5MuneJj+u92VCXymsZaEvQWGhrPz+SHjjuQVJCSFFXdFQT06jiyDDlkGXKApqmYGk8VB2172FizmkZ/I/GaBJL1qaTo0kjSpZCoTY6IKZlL0WpU9OuaQt+CZI6WNrBg1RGqGxq5rFsqV/TqFJOlcqMms8myjM/v+075WqfLx/J1NQy7PHpGJoJwKUaNCaPGdDaxy7KMw2enwVvHadcp9tv2YPPW45f9xGsTSNalkaxLPSfBR05KkCSJ/E7x5HeKp9Hj4+DJWl5buAtZhoFFqQzsnkZajCT1yPmutaDOXY/hgo1APp/Mx4srKO4WF9O7OC/mqddfVzoEIQQkScKkMWPSmDn3OIxvE3w9Z1wnOWDbQ4O37rwEn6RLJl6TSLw2AZPaHNZTF3qtmuL8ZIrzk7E7PRw8XcffP91No8dH34IU+hWmkJNuRq2KzjXpUZPI/3Xov3RPOn+1ypI11SQnqsnKEEuWBOFc5yZ4+PYIu28SfL23jlLXaY74DuLw2XH5nCBJmNQmErSJJGgSSdAlEq9pSvJxakPYlBwwGbT0LUihb0EKjR4fh0/Xs3D1UcprHMSbdHTLsVLUOZG8DAsGfXSkwBZ74ff7efzxx9m3bx86nY6nnnqK3Nzcs9fnzZvHBx98gEaj4ac//SmjR48OasAXs6dqP9WuGoZkXAaAw+lj0aoqZFlmYJ/YeGvVVr/58Y/D/sxOIfTOT/Dnk2UZl9+J3WvD4bNRY6/E4XPQ6HPR6Hd9/XoVBrUBo9qMWWPGpLaQ6k+CRi1GtQmTxoxW0oVsdK/XqumRm0iP3EQAGhweTlXa+GLLKcprnXg8PuLNerJSjGSnmklOiMNq1mM16zHFacL6Xci5WkzkS5Yswe12M3fuXLZu3crMmTP561//CkBFRQVz5sxh/vz5NDY2Mn36dIYNG4ZOF7oRsNvnZv7BhVyXN5a6Bi+7D1WzZlMVxUVxZGeKkbggBIokSRjURgxqI5B20efIsp9GfyONfhcunxOHz8bRhjoanLamx/wuvH7P2ftpJC06lR69Sv/1/+Oa/lU3ff3NNY2kRS2p0Uga1CpN0/8lNWpJgwpVqxOuxaile04i3XMSv45Xxu7yUlXn4lSFnf0narG7vNidHpxuHxKA1LRBSa9Vo9OqMejUWM16Ei16Uq0GUq0GDOa4APwOt1+LiXzTpk0MHz4cgH79+rFz586z17Zv307//v3R6XTodDpycnLYu3cvffr0CXigXp+f95cewOP14/fLlKt3U6s+jgcHuroC5m1twGR00CXHxPhRKcTpo3dOPD7OAJ6OjxTM+vB+txKofoazaOyjhfMXFsRbDNQ3OL/zPFmW8cpePH43Hr8Ht9/d9GvZg9vvwO6tw+P34JU9eGUfftmH74J//bLvIuWBpW//K0mc/edivz73sXgJKUFCQoVRAhNNv5YkCWSQZenrdyVw0idz1CXjOenHfdSPd5Mfj8ePJEmoVBIJ7lwSyEKnVaNVq5Ak0GnVTB9bGJRRfouJ3GazYTZ/+zZLrVbj9XrRaDTYbDYslm93G5lMJmw2W7P3a253Ukt+ddtl53w1uN33ERDnTApCFGnx0wmz2Yzdbj/7td/vR6PRXPSa3W4/L7ELgiAIwddiIh8wYAArv/5QbOvWrRQVFZ291qdPHzZt2kRjYyMNDQ0cOnTovOuCIAhC8LVYNOubVSv79+9HlmWefvppVq5cSU5ODldddRXz5s1j7ty5yLLM3XffzTXXXBOq2AVBEAQUqH4oCIIgBFZ4rOAXBEEQ2k0kckEQhAgnErkgCEKEi9hE7vf7eeyxx5g6dSolJSUcO3bsvOvz5s3j5ptvZsqUKSxfvlyhKDumpT7Onj2byZMnM3nyZP785z8rFGXHtNTHb57zox/9iPfff1+BCDuupT6uWLGCKVOmMHnyZB5//PGIXePfUj/ffPNNbr75ZiZNmsTixYsVijIwtm3bRklJyXceX7ZsGZMmTWLq1KnMmzcvdAHJEWrRokXyr3/9a1mWZXnLli3yT37yk7PXysvL5QkTJsiNjY1yfX392V9Hmub6ePz4cfmmm26SvV6v7Pf75alTp8p79uxRKtR2a66P33jhhRfkyZMny++9916owwuI5vrY0NAgjx8/Xq6qqpJlWZZfe+21s7+ONM31s66uTh45cqTc2Ngo19bWyqNGjVIqzA577bXX5AkTJsiTJ08+73G32y2PHTtWrq2tlRsbG+Wbb75ZrqioCElMETsib23pAIvFcrZ0QKRpro8ZGRm88cYbqNVqJEnC6/Wi10feWaTN9RHgs88+Q5Kks8+JRM31ccuWLRQVFTFr1iymT59OSkoKSUlJSoXaIc3102AwkJmZidPpxOl0RkwxqovJycnh5Zdf/s7jhw4dIicnh4SEBHQ6HQMHDmTDhg0hiSliazgGunRAOGquj1qtlqSkJGRZ5tlnn6Vnz57k5+crGG37NNfH/fv38+mnn/LSSy/xl7/8RcEoO6a5PtbU1LB+/Xo++eQTjEYjt912G/369Yu67yVAp06dGD9+PD6fj7vvvlupMDvsmmuu4eTJk995XMm8E7GJPBZKBzTXR4DGxkYeffRRTCYTv/vd75QIscOa6+Mnn3xCWVkZd9xxB6dOnUKr1ZKVlcWIESOUCrddmuuj1Wqld+/epKY2HRp+2WWXsWfPnohM5M31c+XKlZSXl7N06VIA7rrrLgYMGBCUAntKUTLvROzUSiyUDmiuj7Is87Of/Yxu3brx5JNPolZHZrXH5vr48MMP8+GHHzJnzhxuuukmfvCDH0RcEofm+1hcXMz+/fuprq7G6/Wybds2unbtqlSoHdJcPxMSEoiLi0On06HX67FYLNTX1ysValAUFBRw7NgxamtrcbvdbNy4kf79+4ek7YgdkY8bN47Vq1czbdq0s6UD3nrrrbOlA0pKSpg+fTqyLHP//fdH5Pxxc330+/189dVXuN1uvvzySwB+9atfhewPTqC09H2MBi318YEHHuBHP/oRANdee21EDjqg5X6uWbOGKVOmoFKpGDBgAMOGDVM65IBYuHAhDoeDqVOnMmPGDO666y5kWWbSpEmkp6eHJAaxRV8QBCHCRezUiiAIgtBEJHJBEIQIJxK5IAhChBOJXBAEIcKJRC4IghDhInb5oSA057PPPuO1117D6/UiyzI33HDD2SV+ghBtRCIXok5ZWRmzZs3in//8J4mJidjtdkpKSsjPz4+atemCcC6RyIWoU1NTg8fjweVyAU01L2bOnIler2fNmjXMnDkTWZbJzMzkhRdewGg08vTTT7N27VokSeL666/nf/7nf1i/fj3PPfccfr+fwsJCHnvsMZ588kkOHDiAz+fjxz/+MRMmTFC4t4IgErkQhbp3785VV13F2LFj6dGjB4MHD2bixIl06tSJW2+9lb///e/06NGDP/7xj3z88ceoVCrOnDnDggULcLvdlJSUUFRUhMFg4OjRoyxfvhyLxcLzzz9PcXExs2bNwmazMW3aNPr27Uvnzp2V7rIQ40QiF6LSE088wc9+9jNWrVrFqlWrmDJlCr/4xS9IT0+nR48eQFNJA4B7772Xm266CbVajcFgYOLEiaxdu5YxY8aQn59/tvDRmjVrcLlczJ8/HwCHw8GBAwdEIhcUJxK5EHW++OILHA4H3/ve95g0aRKTJk1i3rx5LFy48LznNTQ0YLfb8fv95z0uyzI+nw+AuLi4s4/7/X6ee+45iouLAaisrCQhISHIvRGElonlh0LUiYuL44UXXjhbM1qWZQ4ePEivXr2orq7m4MGDALzxxhu8//77DBkyhE8++QSfz4fT6WThwoUMHjz4O/cdMmTI2ePmysvLuf766zlz5kzoOiYIlyBG5ELUGTJkCPfccw8/+clP8Hg8AAwfPpwHH3yQ0aNH8/DDD+PxeMjJyeHZZ59Fp9Nx9OhRbrjhBjweD9dffz3jxo1j/fr15933nnvu4fHHH2fChAn4fD4eeughcnJylOiiIJxHVD8UBEGIcGJqRRAEIcKJRC4IghDhRCIXBEGIcCKRC4IgPhzOSQAAABxJREFURDiRyAVBECKcSOSCIAgRTiRyQRCECPf/IM/e6eWwwm0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ctr = y_true.mean()\n",
    "y_pred = get_y_pred(y_score, threshold=ctr)\n",
    "\n",
    "norm_entropy = get_norm_entropy(y_true, y_score)\n",
    "calibration = y_score.mean() / ctr\n",
    "accuracy, precision, recall, f1 = accuracy_score(y_true, y_pred), precision_score(y_true, y_pred), \\\n",
    "    recall_score(y_true, y_pred), f1_score(y_true, y_pred)\n",
    "\n",
    "confusion_matrix = plot_confusion_matrix(y_true, y_pred)\n",
    "auroc = plot_roc_curve(y_true, y_score)\n",
    "auprc = plot_pr_curve(y_true, y_score)\n",
    "_ = plot_lift_curve(y_true, y_score)\n",
    "_ = plot_class_density(y_true, y_score, threshold=ctr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "dump_pickle(os.path.join(MODEL_DIR, '_'.join([model_type, 'metric', train_dataset_type]) + '.pkl'), \n",
    "            (norm_entropy, calibration, accuracy, precision, recall, f1, confusion_matrix, auroc, auprc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_dataset_type = 'quiz'\n",
    "test_dataset_path = os.path.join(DATA_DIR, '_'.join([model_type, 'dataset', test_dataset_type]) + '.libsvm')\n",
    "score_path = os.path.join(MODEL_DIR, '_'.join([model_type, 'score', test_dataset_type]) + '.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Elapsed time: 47 sec\n"
     ]
    }
   ],
   "source": [
    "model.setTest(test_dataset_path)\n",
    "with get_elapsed_time():\n",
    "    model.predict(model_path, score_path)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
